Correct statement about sound wave

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The discussion centers on the speed of sound waves, specifically the velocities at the centers of compression and rarefaction. The original poster believes that the speed at these points should be maximum, while their teacher asserts it is only at one point. A respondent clarifies that each particle in a sound wave undergoes simple harmonic motion (SHM), indicating that velocity is greatest when displacement is zero. This suggests that the teacher's assertion may be incorrect. The conversation emphasizes the importance of understanding particle motion in sound waves.
songoku
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Homework Statement
Please see below
Relevant Equations
None
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My answer is (1) and (2) but the teacher said it is only (1). I thought the speed of point at center of compression and center of rarefaction would be the maximum.

Or the correct one is the speed at center of compression and center of rarefaction would be zero?

Thanks
 
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Your teacher is wrong. Each particle is undergoing SHM and so velocity is the greatest whenever displacement is zero.
 
Thank you very much Orodruin
 
Thread 'Chain falling out of a horizontal tube onto a table'

Thread 'Chain falling out of a horizontal tube onto a table'

My attempt: Initial total M.E = PE of hanging part + PE of part of chain in the tube. I've considered the table as to be at zero of PE. PE of hanging part = ##\frac{1}{2} \frac{m}{l}gh^{2}##. PE of part in the tube = ##\frac{m}{l}(l - h)gh##. Final ME = ##\frac{1}{2}\frac{m}{l}gh^{2}## + ##\frac{1}{2}\frac{m}{l}hv^{2}##. Since Initial ME = Final ME. Therefore, ##\frac{1}{2}\frac{m}{l}hv^{2}## = ##\frac{m}{l}(l-h)gh##. Solving this gives: ## v = \sqrt{2g(l-h)}##. But the answer in the book...
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